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Finding the Fourth Proportional to 366.06, 504.97 and 226.20

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Solution

The fourth proportional to 366.06, 504.97 and 226.20 is: 312.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.06 : 504.97 = 226.20 : x
  2. Step 2: Convert to fraction form
    366.06/504.97 = 226.20/x
  3. Step 3: Cross multiply
    366.06x = 504.97 × 226.20
  4. Step 4: Simplify right side
    366.06x = 114,224.21
  5. Step 5: Solve for x
    x = 114,224.21/366.06
  6. Step 6: Final answer
    x = 312.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.